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Finding the Fourth Proportional to 10,227.24, 15,334.04 and 8,255.30

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Solution

The fourth proportional to 10,227.24, 15,334.04 and 8,255.30 is: 12,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.24 : 15,334.04 = 8,255.30 : x
  2. Step 2: Convert to fraction form
    10,227.24/15,334.04 = 8,255.30/x
  3. Step 3: Cross multiply
    10,227.24x = 15,334.04 × 8,255.30
  4. Step 4: Simplify right side
    10,227.24x = 126,586,982.47
  5. Step 5: Solve for x
    x = 126,586,982.47/10,227.24
  6. Step 6: Final answer
    x = 12,377.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.